Terabits per day to Megabytes per second conversion

How to convert terabits per day to megabytes per second?

To convert 1 terabit per day to megabytes per second, you need to go through a series of conversions:

1. Convert Terabits to Bits: In the base 10 (metric) system, 1 terabit (Tb) is $10^{12}$ bits. In the base 2 (binary) system, 1 tebibit (Tib) is $2^{40}$ bits. However, for simplicity, we'll assume 1 terabit (Tb) is used in both cases (commonly base 10 is used in such cases unless specified as tebibit).

2. Convert Days to Seconds: 1 day = 24 hours, 1 hour = 3600 seconds. $1 \text{ day} = 24 \times 3600 = 86400 \text{ seconds}$.

3. Calculate Megabytes per Second (MBps):

   • Base 10:

     • 1 terabit (Tb) = $10^{12}$ bits.
     • $\text{Bits per second} = \frac{10^{12} \, \text{bits}}{86400 \, \text{seconds}} \approx 11574074.1 \, \text{bits per second}$.
     • 1 byte = 8 bits.
     • $\text{Bytes per second} = \frac{11574074.1 \, \text{bits per second}}{8} \approx 1446759.26 \, \text{bytes per second}$.
     • 1 megabyte = $10^6$ bytes.
     • $\text{Megabytes per second} = \frac{1446759.26 \, \text{bytes per second}}{10^6} \approx 1.44676 \, \text{MBps}$.

   • Base 2:

     • 1 terabit (Tb) = $10^{12}$ bits.
     • 1 megabyte (binary) = $2^{20}$ bytes = 1048576 bytes.
     • $\text{Bytes per second} = \frac{11574074.1 \, \text{bits per second}}{8} \approx 1446759.26 \, \text{bytes per second}$.
     • $\text{Megabytes (binary) per second} = \frac{1446759.26 \, \text{bytes per second}}{2^{20}} \approx 1.378 \, \text{MiBps}$ (mebibytes per second).

Real world examples for other quantities of Terabits per day:

1. 2 Terabits per day:

   • Base 10: $\approx 2.89352 \text{ MBps}$.
   • Base 2: $\approx 2.756 \text{ MiBps}$.

2. 10 Terabits per day:

   • Base 10: $\approx 14.4676 \text{ MBps}$.
   • Base 2: $\approx 13.780 \text{ MiBps}$.

3. 100 Terabits per day:

   • Base 10: $\approx 144.6759 \text{ MBps}$.
   • Base 2: $\approx 137.80 \text{ MiBps}$.

Understanding these conversions can be particularly useful when planning for data center bandwidths, internet service offerings, or data migration projects.